Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400bh |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-113356800 = -1 · 212 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 4 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13,-517] |
[a1,a2,a3,a4,a6] |
Generators |
[29:156:1] |
Generators of the group modulo torsion |
j |
-2560/1107 |
j-invariant |
L |
8.9437994592454 |
L(r)(E,1)/r! |
Ω |
0.84025000357317 |
Real period |
R |
1.7740353920436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98400m1 98400cj1 |
Quadratic twists by: -4 5 |